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Finding the Fourth Proportional to 616,615.99, 924,713.20 and 312,893

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Solution

The fourth proportional to 616,615.99, 924,713.20 and 312,893 is: 469,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,615.99 : 924,713.20 = 312,893 : x
  2. Step 2: Convert to fraction form
    616,615.99/924,713.20 = 312,893/x
  3. Step 3: Cross multiply
    616,615.99x = 924,713.20 × 312,893
  4. Step 4: Simplify right side
    616,615.99x = 289,336,286,505.37
  5. Step 5: Solve for x
    x = 289,336,286,505.37/616,615.99
  6. Step 6: Final answer
    x = 469,232.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.